Question

Help me to solve all of this questions
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Answer 1

Q 6.

`2x - x + 4(x - (x + 7) - 2) \\ x + 4(x - x - 7 - 2) \\ x + 4( - 9) \\ = x - 36`

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Q 7.

o 1)

`\frac{ {x}^(2) - 4 }{5 - x} * \frac{ {x}^(2) - 8x + 15}{ {x}^(2) - 5x + 6 } \\ \\ \\ ((x + 2)(x - 2))/(5 - x) * ((x - 5)(x - 3))/((x - 3)(x - 2)) \\ \\ \\ ((x + 2))/(5 - x) * ((x - 5))/(1) \\ \\ \\ ((x + 2))/( - ( - 5 + x)) * (x - 5) \\ \\ \\ ((x + 2))/( - (x - 5)) * (x - 5) \\ \\ \\ ((x + 2))/( - 1) \\ \\ = - (x + 2) \\ \\ = - x - 2`

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o 2)

`\frac{ {x}^(2) - 2x - 8 }{ {x}^(3) + 3 {x}^(2) } / \frac{x - 4}{ {x}^(2) - 9} \\ \\ \\ \frac{ {x}^(2) - 2x - 8}{ {x}^(3) + 3 {x}^(2) } * \frac{ {x}^(2) - 9 }{x - 4} \\ \\ \\ \frac{(x - 4)(x + 2)}{ {x}^(2)(x + 3) } * ((x + 3)(x - 3))/(x - 4) \\ \\ \\ \frac{x + 2}{ {x}^(2) } * (x - 3)/(1) \\ \\ \\ = \frac{(x + 2)(x - 3)}{ {x}^(2) } \\ \\ \\ = \frac{ {x}^(2) - x - 6 }{ {x}^(2) }`

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Q 8.

a.

`10 {x}^(2) + 7x - 12 \\ = (5x - 4)(2x + 3)`